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Simplifying 27x2 = 18x + -3 Reorder the terms: 27x2 = -3 + 18x Solving 27x2 = -3 + 18x Solving for variable 'x'. Reorder the terms: 3 + -18x + 27x2 = -3 + 18x + 3 + -18x Reorder the terms: 3 + -18x + 27x2 = -3 + 3 + 18x + -18x Combine like terms: -3 + 3 = 0 3 + -18x + 27x2 = 0 + 18x + -18x 3 + -18x + 27x2 = 18x + -18x Combine like terms: 18x + -18x = 0 3 + -18x + 27x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -6x + 9x2) = 0 Factor a trinomial. 3((1 + -3x)(1 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {0.3333333333, 0.3333333333}
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